Answer:
They are similar by a factor of 14
Step-by-step explanation:
From the general equation of a parabola opening up (since the directrix is on the y axis and the focus is upwards this line) the focus coordinates are:
So h=0 and k+p=2, for the directrix:
solving k and p from the two equations above:
So for Parabola 1 the equation would be:
For Parabola 2 the general equation is:
here h=0, k=0, p=3/2 so focus is (0,3/2), directix is y=-3/2, they have the same orientation.
they are not congruent. For them to be similar it must comply:
replacing 
and solving for k:
They are similar by a factor of 14
The miles the student biked in two weeks is 11 2/3 miles.
The distance the student bikes is given in fractions. Fractions are numbers that are made up of numerator and denominators. An examples of a fraction is 1/4. 1 is the numerator and 4 is the denominator.
In order to determine the distance biked in 2 weeks, the distance biked in a day has to be determined.
Distance biked in a day = (1/4 + 1/3 + 7/12)
14/12 = 1 2/12 = 1 1/6
Distance he would travel in 2 weeks
1 1/6 x 10
7/6 x 10 = 70 /6 = 11 2/3 miles
To learn more about fractions, please check: brainly.com/question/848992
change
into
to get rid of the square root. Keep in mind that if you need to graph the equation, x>=0 because there can't be a negative under the square root.
Then substitute
into y=4t+1 for t and you get:
Answer:
Rebecca does not have a return yet because the stock was not sold since there was a limit order at $33.
However, the value of her investment can be put around $2,400 (100 x $24 average price).
Step-by-step explanation:
Price of Havad Stock bought a year ago = $20
No. of shares = 100
Limit order selling price = $33
Stock prices during the limit order day = $23, $26, and $22
The stock cannot be sold, since its price did not reach $33.
Rebecca's limit order is an order to buy or sell her stock in Havad at $33 or better. Since her order is a sell limit order, it can only be executed at the limit price of $33 or higher. Unfortunately, the price of the stock did not reach the limit order on that particular day. This implies that her limit order is not guaranteed to execute.
2(4k+8)=10
8k+16=10 (she said 2k instead of 8k)
To continue solving, subtract 16 from both sides. That would give you 8k= -6. Then divide both sides by 8, and get -6/8 which equals -3/4.
